Algebraic Structures On Mod Planes

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Algebraic Structures on MOD Planes

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599733676
Total Pages : 215 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Algebraic Structures on MOD Planes by : W. B. Vasantha Kandasamy

Download or read book Algebraic Structures on MOD Planes written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015-11-01 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Study of MOD planes happens to a very recent one. In this book, systematically algebraic structures on MOD planes like, MOD semigroups, MOD groups and MOD rings of different types are defined and studied. Such study is innovative for a large four quadrant planes are made into a small MOD planes. Several distinct features enjoyed by these MOD planes are defined, developed and described.

Non-Associative Algebraic Structures on MOD Planes

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599733684
Total Pages : 212 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Non-Associative Algebraic Structures on MOD Planes by : W. B. Vasantha Kandasamy

Download or read book Non-Associative Algebraic Structures on MOD Planes written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time construct non-associative algebraic structures on the MOD planes. Using MOD planes we can construct infinite number of groupoids for a fixed m and all these MOD groupoids are of infinite cardinality. Special identities satisfied by these MOD groupoids build using the six types of MOD planes are studied. Further, the new concept of special pseudo zero of these groupoids are defined, described and developed. Also conditions for these MOD groupoids to have special elements like idempotent, special pseudo zero divisors and special pseudo nilpotent are obtained. Further non-associative MOD rings are constructed using MOD groupoids and commutative rings with unit. That is the MOD groupoid rings gives infinitely many non-associative ring. These rings are analysed for substructures and special elements. This study is new and innovative and several open problems are suggested.

MOD Planes: A New Dimension to Modulo Theory

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599733633
Total Pages : 223 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis MOD Planes: A New Dimension to Modulo Theory by : W. B. Vasantha Kandasamy

Download or read book MOD Planes: A New Dimension to Modulo Theory written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new dimension is given to modulo theory by defining MOD planes. In this book, the authors consolidate the entire four quadrant plane into a single quadrant plane defined as the MOD planes. MOD planes can be transformed to infinite plane and vice versa. Several innovative results in this direction are obtained. This paradigm shift will certainly lead to new discoveries.

Multidimensional MOD Planes. Series on MOD Mathematics

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 159973365X
Total Pages : 234 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Multidimensional MOD Planes. Series on MOD Mathematics by : W. B. Vasantha Kandasamy

Download or read book Multidimensional MOD Planes. Series on MOD Mathematics written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to define and develop the notion of multi-dimensional MOD planes. Here, several interesting features enjoyed by these multi-dimensional MOD planes are studied and analyzed. Interesting problems are proposed to the reader.

MOD Graphs

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599734699
Total Pages : 350 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis MOD Graphs by : W. B. Vasantha Kandasamy

Download or read book MOD Graphs written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors for the first time introduce, study and develop the notion of MOD graphs, MOD directed graphs, MOD finite complex number graphs, MOD neutrosophic graphs, MOD dual number graphs, and MOD directed natural neutrosophic graphs. There are open conjectures that can help researchers in the graph theory.

MOD Natural Neutrosophic Subset Semigroups

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599734850
Total Pages : 362 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis MOD Natural Neutrosophic Subset Semigroups by : W. B. Vasantha Kandasamy

Download or read book MOD Natural Neutrosophic Subset Semigroups written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2016 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors introduce for the first time the MOD Natural Subset Semigroups. They enjoy very many special properties. They are only semigroups even under addition. This book provides several open problems to the semigroup theorists

MOD Relational Maps Models and MOD Natural Neutrosophic Relational Maps Models

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 159973463X
Total Pages : 280 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis MOD Relational Maps Models and MOD Natural Neutrosophic Relational Maps Models by : W. B. Vasantha Kandasamy

Download or read book MOD Relational Maps Models and MOD Natural Neutrosophic Relational Maps Models written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors for the first time construct MOD Relational Maps model analogous to Fuzzy Relational Maps (FRMs) model or Neutrosophic Relational Maps (NRMs) model using the MOD rectangular or relational matrix. The advantage of using these models is that the MOD fixed point pair or MOD limit cycle pair is obtained after a finite number of iterations.

MOD Cognitive Maps Models and MOD Natural Neutrosophic Cognitive Maps Models

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599734621
Total Pages : 225 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis MOD Cognitive Maps Models and MOD Natural Neutrosophic Cognitive Maps Models by : W. B. Vasantha Kandasamy

Download or read book MOD Cognitive Maps Models and MOD Natural Neutrosophic Cognitive Maps Models written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time introduce new mathematical models analogous to Fuzzy Cognitive Maps (FCMs) and Neutrosophic Cognitive Maps (NCMs) models. Several types of MOD Cognitive Maps models are constructed in this book. They are MOD Cognitive Maps model, MOD dual number Cognitive Maps model, MOD neutrosophic Cognitive Maps model, MOD finite complex number Cognitive Maps model, MOD special dual like number Cognitive Maps model, and MOD special quasi dual number Cognitive Maps model.

Neutrosophic Triplet Groups and their Applications to Mathematical Modelling

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599735334
Total Pages : 268 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutrosophic Triplet Groups and their Applications to Mathematical Modelling by : W. B. Vasantha Kandasamy

Download or read book Neutrosophic Triplet Groups and their Applications to Mathematical Modelling written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2017 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we define new operations mainly to construct mathematical models akin to Fuzzy Cognitive Maps (FCMs) model, Neutrosophic Cognitive Maps (NCMs) model and Fuzzy Relational Maps (FRMs) model. These new models are defined in chapter four of this book. These new models can find applications in discrete Artificial Neural Networks, soft computing, and social network analysis whenever the concept of indeterminate is involved.

Semigroups on MOD Natural Neutrosophic Elements

Author : W B Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599733803
Total Pages : 234 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Semigroups on MOD Natural Neutrosophic Elements by : W B Vasantha Kandasamy

Download or read book Semigroups on MOD Natural Neutrosophic Elements written by W B Vasantha Kandasamy and published by Infinite Study. This book was released on 2016 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the notion of semigroups under + is constructed using: the MOD natural neutrosophic integers, or MOD natural neutrosophic-neutrosophic numbers, or MOD natural neutrosophic finite complex modulo integer, or MOD natural neutrosophic dual number integers, or MOD natural neutrosophic special dual like number, or MOD natural neutrosophic special quasi dual numbers.

Problems on MOD Structures

Author : W B Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 159973379X
Total Pages : 147 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Problems on MOD Structures by : W B Vasantha Kandasamy

Download or read book Problems on MOD Structures written by W B Vasantha Kandasamy and published by Infinite Study. This book was released on 2016 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of MOD Structures is new and innovative. The authors in this book propose several problems on MOD Structures, some of which are at the research level.

Mod Rectangular Natural Neutrosophic Numbers

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 :
Total Pages : 263 pages
Book Rating : 4./5 ( download)

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Book Synopsis Mod Rectangular Natural Neutrosophic Numbers by : W. B. Vasantha Kandasamy

Download or read book Mod Rectangular Natural Neutrosophic Numbers written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors introduce the new notion of MOD rectangular planes. The functions on them behave very differently when compared to MOD planes (square). These are different from the usual MOD planes. Algebraic structures on these MOD rectangular planes are defined and developed.

MOD Natural Neutrosophic Subset Topological Spaces and Kakutani’s Theorem

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599734907
Total Pages : 278 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis MOD Natural Neutrosophic Subset Topological Spaces and Kakutani’s Theorem by : W. B. Vasantha Kandasamy

Download or read book MOD Natural Neutrosophic Subset Topological Spaces and Kakutani’s Theorem written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time develop the notion of MOD natural neutrosophic subset special type of topological spaces using MOD natural neutrosophic dual numbers or MOD natural neutrosophic finite complex number or MOD natural neutrosophic-neutrosophic numbers and so on to build their respective MOD semigroups. Later they extend this concept to MOD interval subset semigroups and MOD interval neutrosophic subset semigroups. Using these MOD interval semigroups and MOD interval natural neutrosophic subset semigroups special type of subset topological spaces are built. Further using these MOD subsets we build MOD interval subset matrix semigroups and MOD interval subset matrix special type of matrix topological spaces. Likewise using MOD interval natural neutrosophic subsets matrices semigroups we can build MOD interval natural neutrosophic matrix subset special type of topological spaces. We also do build MOD subset coefficient polynomial special type of topological spaces. The final chapter mainly proposes several open conjectures about the validity of the Kakutani’s fixed point theorem for all MOD special type of subset topological spaces.

Special Type of Fixed Points of MOD Matrix Operators

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599734591
Total Pages : 202 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Special Type of Fixed Points of MOD Matrix Operators by : W. B. Vasantha Kandasamy

Download or read book Special Type of Fixed Points of MOD Matrix Operators written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2016 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time introduce a special type of fixed points using MOD square matrix operators. These special type of fixed points are different from the usual classical fixed points. These special type of fixed points or special realized limit cycles are always guaranteed as we use only MOD matrices as operators with its entries from modulo integers. However this sort of results are NP hard problems if we use reals or complex numbers.

Special Type of Fixed Point Pairs using MOD Rectangular Matrix Operators

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599734605
Total Pages : 257 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Special Type of Fixed Point Pairs using MOD Rectangular Matrix Operators by : W. B. Vasantha Kandasamy

Download or read book Special Type of Fixed Point Pairs using MOD Rectangular Matrix Operators written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time define a special type of fixed points using MOD rectangular matrices as operators. In this case the special fixed points or limit cycles are pairs which is arrived after a finite number of iterations. Such study is both new and innovative for it can find lots of applications in mathematical modeling.

The Encyclopedia of Neutrosophic Researchers, 1st volume

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599734680
Total Pages : 232 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis The Encyclopedia of Neutrosophic Researchers, 1st volume by : Florentin Smarandache

Download or read book The Encyclopedia of Neutrosophic Researchers, 1st volume written by Florentin Smarandache and published by Infinite Study. This book was released on 2016-11-12 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.

Algebraic Structures And Number Theory - Proceedings Of The First International Symposium

Author : S P Lam
Publisher : World Scientific
ISBN 13 : 9814611425
Total Pages : 346 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Algebraic Structures And Number Theory - Proceedings Of The First International Symposium by : S P Lam

Download or read book Algebraic Structures And Number Theory - Proceedings Of The First International Symposium written by S P Lam and published by World Scientific. This book was released on 1990-12-31 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this proceedings, recent development on various aspects of algebra and number theory were discussed. A wide range of topics such as group theory, ring theory, semi-group theory, topics on algebraic structures, class numbers, quadratic forms, reciprocity formulae were covered.